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Finding the Fourth Proportional to 289,085.10, 398,909.37 and 168,242.41

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Solution

The fourth proportional to 289,085.10, 398,909.37 and 168,242.41 is: 232,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,085.10 : 398,909.37 = 168,242.41 : x
  2. Step 2: Convert to fraction form
    289,085.10/398,909.37 = 168,242.41/x
  3. Step 3: Cross multiply
    289,085.10x = 398,909.37 × 168,242.41
  4. Step 4: Simplify right side
    289,085.10x = 67,113,473,780.38
  5. Step 5: Solve for x
    x = 67,113,473,780.38/289,085.10
  6. Step 6: Final answer
    x = 232,158.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.